Ferromagnetism of a Repulsive Atomic Fermi Gas in an Optical Lattice: a Quantum Monte Carlo Study

Abstract

Using continuous-space quantum Monte Carlo methods we investigate the zero-temperature ferromagnetic behavior of a two-component repulsive Fermi gas under the influence of periodic potentials that describe the effect of a simple-cubic optical lattice. Simulations are performed with balanced and with imbalanced components, including the case of a single impurity immersed in a polarized Fermi sea (repulsive polaron). For an intermediate density below half filling, we locate the transitions between the paramagnetic, and the partially and the fully ferromagnetic phases. As the intensity of the optical lattice increases, the ferromagnetic instability takes place at weaker interactions, indicating a possible route to observe ferromagnetism in experiments performed with ultracold atoms. We compare our findings with previous predictions based on the standard computational method used in material science, namely density functional theory, and with results based on tight-binding models.

Published version with Supplemental Material. Added comparison with Hubbard model results

References in corpus (9)

• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Ferromagnetic spin correlations in a few-fermion system
• Itinerant Ferromagnetism in a polarized two-component Fermi gas
• Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
• A dynamical mean-field theory study of Nagaoka ferromagnetism
• Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
• The itinerant ferromagnetic phase of the Hubbard model
• Itinerant ferromagnetism in a Fermi gas with contact interaction: Magnetic properties in a dilute Hubbard model
• Coupled Ferromagnetic and Nematic Ordering of Fermions in an Optical Flux Lattice

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